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2. Let U , V , W be finite-dimensional vector spaces. (a)IfanylinearmapT :U W canbepresentedasacompositionoflinearmapsU V W, then what can be the

2. Let U , V , W be finite-dimensional vector spaces.(a)IfanylinearmapT :U →W canbepresentedasacompositionoflinearmapsU →V →W, then what can be the dimensions of the spaces?(b) What linear maps U → W can be presented as compositions U → V → W ?

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